DIMENSIONS OF SOME LOCALLY ANALYTIC REPRESENTATIONS

作者：Schmidt Tobias^*; Strauch Matthias^*

来源：Representation Theory - An Electronic Journal of the AMS, 2016, 20(2): 14-38.

DOI：10.1090/ert/475

Let G be the group of points of a split reductive group over a finite extension of Q(p). In this paper, we compute the dimensions of certain classes of locally analytic G-representations. This includes principal series representations and certain representations coming from homogeneous line bundles on p-adic symmetric spaces. As an application, we compute the dimensions of the unitary GL(2)(Q(p))-representations appearing in Colmez' p-adic local Langlands correspondence.

• 出版日期2016-2-2